Derivation of stiffness matrix for a general two dimensional curved element in general global coordinates system
Joint Authors
Ahmad, Balqis Abd al-Wahid
al-Janabi, Musab Ayid Q.
Source
Issue
Vol. 14, Issue 4 (31 Dec. 2008), pp.1-13, 13 p.
Publisher
University of Baghdad College of Engineering
Publication Date
2008-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract AR
في هذا البحث تم اشتقاق مصفوفة الجساءة لأي عنصر مقوس ثنائي الأبعاد و بنظام الإحداثيات العام.
الاشتقاق يعتمد على فرضية أن أي عنصر مقوس ثنائي الأبعاد يمكن أن يقرب بمنحنى معين بالإحداثيات القطبية.
المنحني القطبي المفروض في هذا البحث يعتمد على بعض المتغيرات التي تمكنه من تمثيل أي عنصر منحنى ثنائي الأبعاد.
عملية الاشتقاق صوحبت بتكاملات معقدة و التي تم حسابها باستخدام طريقة (Gassian Quadrature) للتكاملات العددية، تم حل مثال واحد لغرض اثبات دقة و فاعلية المصفوفة الجديدة.
تم مقارنة النتائج التي تم الحصول عليها مع الحل المضبوط و من خلال المقارنة ثم الحصول على نتائج قريبة جدا من الحل المضبوط و بفرق لا يزيد عن (1.7 %).
Abstract EN
In present paper, the derivation of stiffness matrix for a general two dimensional curved element in the global coordinates system is presented.
The derivation depends on the assumption that any curved in-plane element can be approximated by a specified curve in polar coordinates.
The polar curve assumed in this polar depends on some variables that enable it to represent any two dimensional curved element.
The derivation process accompanied by complex integrals which are evaluated by using (Gaussian Quadrature) method of numerical integration.
One numerical example is presented to verify the accuracy and efficiency of the derived stiffness matrix.
Very good agreement is obtained between the results of the derived stiffness matrix and the results of the exact model.
American Psychological Association (APA)
al-Janabi, Musab Ayid Q.& Ahmad, Balqis Abd al-Wahid. 2008. Derivation of stiffness matrix for a general two dimensional curved element in general global coordinates system. Journal of Engineering،Vol. 14, no. 4, pp.1-13.
https://search.emarefa.net/detail/BIM-332485
Modern Language Association (MLA)
al-Janabi, Musab Ayid Q.& Ahmad, Balqis Abd al-Wahid. Derivation of stiffness matrix for a general two dimensional curved element in general global coordinates system. Journal of Engineering Vol. 14, no. 4 (Dec. 2008), pp.1-13.
https://search.emarefa.net/detail/BIM-332485
American Medical Association (AMA)
al-Janabi, Musab Ayid Q.& Ahmad, Balqis Abd al-Wahid. Derivation of stiffness matrix for a general two dimensional curved element in general global coordinates system. Journal of Engineering. 2008. Vol. 14, no. 4, pp.1-13.
https://search.emarefa.net/detail/BIM-332485
Data Type
Journal Articles
Language
English
Notes
Includes appendices.
Record ID
BIM-332485